I can carry out calculations involving reverse percentages, e.g. finding the cost price given the selling price and the percentage profit
I can obtain appropriate upper and lower bounds to solutions of simple problems (e.g. the calculation of the perimeter or the area of a rectangle) given data to a specified accuracy
I can use language, notation and Venn diagrams to describe sets and represent relationships between sets (see syllabus for list)
Lesson 2
I can express direct and inverse variation in algebraic terms
I can increase and decrease a quantity by a given ratio
I can use algebra to find unknown quantities in direct/inverse variation problems
Lesson 3/4
I can calculate the gradient of a straight line from the co-ordinates of two points on it
I can calculate the length and the co-ordinates of the midpoint of a straight line segment from the co-ordinates of its end points
I can estimate gradients of curves by drawing tangents;
I can solve associated equations approximately by graphical methods
Lesson 5
*I can construct and transform more complicated formulae and equations
I can expand products of algebraic expressions
I can factorise expressions of the form a2 + 2ab + b2
I can factorise expressions of the form a2x2 - b2 y2
I can factorise expressions of the form ax + bx+ kay+ kby
I can factorise expressions of the form ax2 + bx+ c
Lesson 6
I can factorise and simplify algebraic fractions where variables appear on the top and bottom
I can manipulate algebraic fractions where the denominator is algebraic
I can manipulate algebraic fractions where the denominator is numeric
Lesson 7
I can form composite functions as defined by gf(x) = g(f(x))
I can use function notation, e.g. f (x) = 3x- 5, f:x--> 3x- 5 to describe simple functions,
I can use the notation f -1(x) to describe their inverses, which I can subsequently find
Lesson 8
I can calculate the determinant and inverse A-1 of a non-singular matrix A
I can calculate the product of a matrix and a scalar quantity;
I can calculate the sum and product of two matrices;
I can calculate the magnitude of a vector using Pythagoras
I can display information in the form of a matrix of any order;
Lesson 9
I can represent inequalities graphically
I can solve simple linear inequalities
Lesson 10
skipped due to field trip
Lesson 11
I can use the property "equal chords are equidistant from the centre" to solve circle problems
I can use the property "tangents from an external point are equal in length" to solve circle problems
I can use the property "the perpendicular bisector of a chord passes through the centre" to solve circle problems
I know and can use angle properties of irregular polygons
I know and can use angle properties of cyclic quadrilaterals
I know and can use that the angle at the centre of a circle is twice the angle at the circumference
I know and can use that the angles in opposite segments are supplementary
I know and can use that the angles in the same segment are equal
Lesson 12
I can use the relationships between areas of similar shapes to correctly increase volume, area or surface area.
Lesson 13
skipped, not needed
Lesson 14
I can solve problems involving the arc length and sector area as fractions of the circumference and area of a circle
I can solve trigonometrical problems in two dimensions involving angles of elevation and depression,
Lesson 15
I can solve problems involving the surface area and volume of a sphere, pyramid and cone (given the formulae)
I can recognise symmetry properties of the prism (including cylinder) and the pyramid (including cone)
Lesson 16
I can represent vectors by directed line segments
I can use position vectors
I can use the algebra of 2 x 2 matrices including the zero and identity 2 x 2 matrices
I can use the sum and difference of two vectors to express given vectors in terms of two coplanar vectors;
I can solve quadratic equations by factorisation
I can solve quadratic equations either by use of the formula or by completing the square
Lesson 17
I can extend sine and cosine values to angles between 90° and 180°,
I can use and interpret fractional indices, e.g. solve 32^x = 2
Lesson 18
I can solve 3D problems using Pythagoras
I can solve simple trigonometrical problems in three dimensions including angle between a line and a plane
Lesson 19
I can calculate an estimate of the mean for grouped and continuous data
I can construct and use cumulative frequency diagrams
I can estimate and interpret the median, percentiles, quartiles and inter-quartile range from a cumulative frequency diagram
I can estimate and interpret the median, percentiles, quartiles and inter-quartile range from a historgram
Objectives to cover on mymaths
I can construct and read histograms with unequal intervals (areas proportional to frequencies and vertical axis labelled 'frequency density')
I can identify the modal class from a grouped frequency distribution
Objectives that we have either done, or are easy enough for you to revise yourself
I can solve problems using the sine and cosine rules for any triangle and the formula area of triangle = 1/2 ab sin C
I can calculate the probability of simple combined events using possibility diagrams
I can calculate the probability of simple combined events using tree diagrams
I can combine transformations (if M(a) = b and R(b) = c the notation RM(a) = c will be used; invariants under these transformations may be assumed.)
I can describe transformations using co-ordinates and matrices (singular matrices are excluded)
I can identify and give precise descriptions of transformations connecting given figures
I can use enlargement (E) in the plane
I can use I can use rotation (R) in the plane
I can use reflection (M) in the plane
I can use shear (H) in the plane
I can use stretching (S) in the plane
I can use translation (T) in the plane
I can apply the idea of rate of change to easy kinematics involving distance-time and speed-time graphs, acceleration and deceleration
I can calculate distance travelled as area under a linear speed-time graph
I can construct tables of values and draw graphs for functions of simple sums of not more than three ax^n functions and for functions of the form ax where a is a positive integer;
I can construct tables of values and draw graphs for functions of the form ax^n where a is a rational constant and -3 < n < 3 I can use this graphical inequalities in the solution of simple linear programming problems, using the conventions of using broken lines for strict inequalities and shading unwanted regions
Revision Lesson Topics
Lesson 1
I can carry out calculations involving reverse percentages, e.g. finding the cost price given the selling price and the percentage profit
I can obtain appropriate upper and lower bounds to solutions of simple problems (e.g. the calculation of the perimeter or the area of a rectangle) given data to a specified accuracy
I can use language, notation and Venn diagrams to describe sets and represent relationships between sets (see syllabus for list)
Lesson 2
I can express direct and inverse variation in algebraic terms
I can increase and decrease a quantity by a given ratio
I can use algebra to find unknown quantities in direct/inverse variation problems
Lesson 3/4
I can calculate the gradient of a straight line from the co-ordinates of two points on it
I can calculate the length and the co-ordinates of the midpoint of a straight line segment from the co-ordinates of its end points
I can estimate gradients of curves by drawing tangents;
I can solve associated equations approximately by graphical methods
Lesson 5
*I can construct and transform more complicated formulae and equations
I can expand products of algebraic expressions
I can factorise expressions of the form a2 + 2ab + b2
I can factorise expressions of the form a2x2 - b2 y2
I can factorise expressions of the form ax + bx+ kay+ kby
I can factorise expressions of the form ax2 + bx+ c
Lesson 6
I can factorise and simplify algebraic fractions where variables appear on the top and bottom
I can manipulate algebraic fractions where the denominator is algebraic
I can manipulate algebraic fractions where the denominator is numeric
Lesson 7
I can form composite functions as defined by gf(x) = g(f(x))
I can use function notation, e.g. f (x) = 3x- 5, f:x--> 3x- 5 to describe simple functions,
I can use the notation f -1(x) to describe their inverses, which I can subsequently find
Lesson 8
I can calculate the determinant and inverse A-1 of a non-singular matrix AI can calculate the product of a matrix and a scalar quantity;
I can calculate the sum and product of two matrices;
I can calculate the magnitude of a vector using Pythagoras
I can display information in the form of a matrix of any order;
Lesson 9
I can represent inequalities graphically
I can solve simple linear inequalities
Lesson 10
skipped due to field tripLesson 11
I can use the property "equal chords are equidistant from the centre" to solve circle problems
I can use the property "tangents from an external point are equal in length" to solve circle problems
I can use the property "the perpendicular bisector of a chord passes through the centre" to solve circle problems
I know and can use angle properties of irregular polygons
I know and can use angle properties of cyclic quadrilaterals
I know and can use that the angle at the centre of a circle is twice the angle at the circumference
I know and can use that the angles in opposite segments are supplementary
I know and can use that the angles in the same segment are equal
Lesson 12
I can use the relationships between areas of similar shapes to correctly increase volume, area or surface area.Lesson 13
skipped, not neededLesson 14
I can solve problems involving the arc length and sector area as fractions of the circumference and area of a circleI can solve trigonometrical problems in two dimensions involving angles of elevation and depression,
Lesson 15
I can solve problems involving the surface area and volume of a sphere, pyramid and cone (given the formulae)
I can recognise symmetry properties of the prism (including cylinder) and the pyramid (including cone)
Lesson 16
I can represent vectors by directed line segments
I can use position vectors
I can use the algebra of 2 x 2 matrices including the zero and identity 2 x 2 matrices
I can use the sum and difference of two vectors to express given vectors in terms of two coplanar vectors;
I can solve quadratic equations by factorisation
I can solve quadratic equations either by use of the formula or by completing the square
Lesson 17
I can extend sine and cosine values to angles between 90° and 180°,
I can use and interpret fractional indices, e.g. solve 32^x = 2
Lesson 18
I can solve 3D problems using Pythagoras
I can solve simple trigonometrical problems in three dimensions including angle between a line and a plane
Lesson 19
I can calculate an estimate of the mean for grouped and continuous data
I can construct and use cumulative frequency diagrams
I can estimate and interpret the median, percentiles, quartiles and inter-quartile range from a cumulative frequency diagram
I can estimate and interpret the median, percentiles, quartiles and inter-quartile range from a historgram
Objectives to cover on mymaths
I can construct and read histograms with unequal intervals (areas proportional to frequencies and vertical axis labelled 'frequency density')
I can identify the modal class from a grouped frequency distribution
Objectives that we have either done, or are easy enough for you to revise yourself
I can solve problems using the sine and cosine rules for any triangle and the formula area of triangle = 1/2 ab sin C
I can calculate the probability of simple combined events using possibility diagrams
I can calculate the probability of simple combined events using tree diagrams
I can combine transformations (if M(a) = b and R(b) = c the notation RM(a) = c will be used; invariants under these transformations may be assumed.)
I can describe transformations using co-ordinates and matrices (singular matrices are excluded)
I can identify and give precise descriptions of transformations connecting given figures
I can use enlargement (E) in the plane
I can use I can use rotation (R) in the plane
I can use reflection (M) in the plane
I can use shear (H) in the plane
I can use stretching (S) in the plane
I can use translation (T) in the plane
I can apply the idea of rate of change to easy kinematics involving distance-time and speed-time graphs, acceleration and deceleration
I can calculate distance travelled as area under a linear speed-time graph
I can construct tables of values and draw graphs for functions of simple sums of not more than three ax^n functions and for functions of the form ax where a is a positive integer;
I can construct tables of values and draw graphs for functions of the form ax^n where a is a rational constant and -3 < n < 3
I can use this graphical inequalities in the solution of simple linear programming problems, using the conventions of using broken lines for strict inequalities and shading unwanted regions